All Puzzles
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There is a polynomial and you have access to a function that evaluates that polynomial at a given number. You don’t know the degree of the polynomial, nor do you know any of the coefficients of its terms. However, you are told that all coefficients are non-negative integers. How many times do you need to call the evaluation function in order to identify the polynomial (that is, to figure out the values of its coefficients)?
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There is a table with a row of 2014 cards. Each card has a red side and a blue side. We’ll say that a card is red if the color on its visible face is red, and analogously for blue. Two players take turns to do the following move: select any 50 consecutive cards where the left-most card is red, then flip each of those 50 cards (thus, for those 50 cards, turning red cards into blue cards and blue cards into red cards). Both players look at the cards from the same side of the table, so “left-most” means the same to both of the players (that is, you can think of one of the ends of the table as being designated as the left end). When it is a player’s turn, if that player cannot make a move (that is, if there is no way to select 50 consecutive cards the left-most one of which is red), then that player loses and the other player wins. If you are one of the players and all cards are initially red, can you be sure to win, and if so, do you want to be the player who goes first or second?
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Two arbitrary rectangles are placed to form an “L”. That is, the lower left-hand corner of the two rectangles share the same point. (What I’m trying to say is that there’s an “L” whose “I” and “_” parts have arbitrary widths and heights.) Using only a (pen and a) straightedge (that is, no measuring device and no compass), figure out a way to, with a single straight cut, divide the “L” into two pieces of equal area.
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An art gallery features a modern work of ‘moving art’. The artist stands by a stack of paintings, each featuring a different number. One of the paintings is displayed on the wall. At certain times the artist removes the painting from the wall and replaces it with a painting from the stack. At 11am, the artist hangs a painting of the number 30. At 4pm he hangs a painting of number 240. At 7.30pm he hangs a painting of number 315. What painting does the artist hang at 9.20pm?
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what would you do if i elope your sister?
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Seven men engaged in play. Whenever a player won a game he doubled
the money of each of the other players. That is, he gave each player just as
much money as each had in his pocket. They played seven games and,
strange to say, each won a game in turn in the order of their names, which
began with the letters A, B, C, D, E, F, and G.
strange to say, each won a game in turn in the order of their names
When they had finished it was found that each man had exactly $1.28 in his
pocket. How much had each man in his pocket before play?View SolutionSubmit Solution- 1,449.9K views
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It is a small town railway station and there are 25 stations on that line. At each of the 25 stations the passengers can get tickets for any of the others 24 stations.
How many different kinds of tickets do you think the booking clerk has to keep?View SolutionSubmit Solution- 1,451.3K views
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Two women were selling marbles in the market place —one at three for a paise and other at two for a paise. One day both of them were obliged to return home when each had thirty marbles unsold. They put together the two lots of marbles and handing them over to a friend asked her to sell them at five for 2 paise. According to their calculation, after all, 3 for one paise and 2 for one paise was exactly the same as 5 for 2 paise.
But when the takings were handed over to them, they were both most surprised, because the entire lot together had fetched only 24 paisel If however, they had sold their marbles separately they would have fetched 25 paise.
Now where did the one paise go? Can you explain the mystery?View SolutionSubmit Solution- 1,451.2K views
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My friend Asha was throwing a very grand party and wanted to borrow from me 100 wine glasses. I decided to send them through my boy servant Harish.
Just to give an incentive to Harish to deliver the glasses intact I offered him 3 paise for every glass delivered safely and threatened to forefeit 9 paise for«very glass he broke.
On settlement Harish received Rs 2.40 from me. How many glasses did Harish break?View SolutionSubmit Solution- 1,452.9K views
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A wholesale merchant came to me one day and posed this problem. Every day in his business he has to weigh amounts from one pound to one hundred and twenty-one pounds, to the nearest pound. To do this, what is the minimum number of weights he needs and how heavy should each weight be?
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